Online GCD Calculator is useful to find the GCD of 684, 314, 387, 306 quickly. Get the easiest ways to solve the greatest common divisor of 684, 314, 387, 306 i.e 1 in different methods as follows.
Given Input numbers are 684, 314, 387, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (684, 314, 387, 306) = 1.
Given numbers are 684, 314, 387, 306
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 314 are 2 x 157
Prime factors of 387 are 3 x 3 x 43
Prime factors of 306 are 2 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 314, 387, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 314) = 107388
GCD(684, 314) = ( 684 x 314 ) / 107388
= 684 / 314
= 684
Step2:
LCM(2, 387) = 774
GCD(2, 387) = ( 2 x 387 ) / 774
= 2 / 387
= 2
Step3:
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
= 1 / 306
= 1
So, Greatest Common Divisor of 684, 314, 387, 306 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 314, 387, 306
The greatest common divisor of numbers 684, 314, 387, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 314, 387, 306 is 1.
1. What is the GCD of 684, 314, 387, 306?
GCD of given numbers 684, 314, 387, 306 is 1
2. How to calculate the greatest common divisor of 684, 314, 387, 306?
We can find the highest common divisor of 684, 314, 387, 306 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 684, 314, 387, 306 i.e 1.
3. How can I use the GCD of 684, 314, 387, 306Calculator?
Out the numbers 684, 314, 387, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.